1505500020 has 120 divisors (see below), whose sum is σ = 4736932200. Its totient is φ = 400267008.

The previous prime is 1505500019. The next prime is 1505500021. The reversal of 1505500020 is 200055051.

It is an interprime number because it is at equal distance from previous prime (1505500019) and next prime (1505500021).

It can be written as a sum of positive squares in 4 ways, for example, as 2232036 + 1503267984 = 1494^2 + 38772^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1505499966 and 1505500002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505500021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 628986 + ... + 631374.

It is an arithmetic number, because the mean of its divisors is an integer number (39474435).

Almost surely, 2^1505500020 is an apocalyptic number.

1505500020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505500020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368466100).

1505500020 is an abundant number, since it is smaller than the sum of its proper divisors (3231432180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1505500020 is a wasteful number, since it uses less digits than its factorization.

1505500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1505500020 is about 38800.7734458992. The cubic root of 1505500020 is about 1146.1116362835. Note that the first 3 decimals are identical.

Adding to 1505500020 its reverse (200055051), we get a palindrome (1705555071).

The spelling of 1505500020 in words is "one billion, five hundred five million, five hundred thousand, twenty".